On a certain pair of measures on
Author:
E. A. Riss
Translated by:
the author
Original publication:
Algebra i Analiz, tom 25 (2013), nomer 1.
Journal:
St. Petersburg Math. J. 25 (2014), 105-115
MSC (2010):
Primary 28C20
DOI:
https://doi.org/10.1090/S1061-0022-2013-01281-7
Published electronically:
November 20, 2013
MathSciNet review:
3113430
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: A pair of finite Borel measures and
on
,
,
, is constructed so that the identity
is fulfilled for all balls
with centers
and radii
, where
for a.e.
.
- 1. D. Preiss and S. J. Tišer, Measures in Banach spaces are determined by their values on balls, Mathematika 38 (1991), no. 2, 391-397. MR 1147839 (93a:46080)
- 2. E. A. Riss, Measures that coincide on balls, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 177 (1989), 122-128; English transl., J. Soviet Math. 24 (1984), no. 3. MR 1053134 (91m:60020)
- 3. R. O. Davies, Measures not approximable or not specifiable by means of balls, Mathematika 18 (1971), 157-160. MR 0310162 (46:9264)
- 4. M. Studený, On the differentiation theorem in metric groups, Comment. Math. Univ. Carolin. 24 (1983), no. 2, 223-232. MR 711260 (84j:28007)
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Additional Information
E. A. Riss
Affiliation:
Hertzen Russia State Pedagogical University, Moika 48, St. Petersburg 191186, Russia
Email:
e.riss@bk.ru
DOI:
https://doi.org/10.1090/S1061-0022-2013-01281-7
Keywords:
Measures on Banach spaces,
small ball problem
Received by editor(s):
May 4, 2012
Published electronically:
November 20, 2013
Article copyright:
© Copyright 2013
American Mathematical Society